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Finding the Fourth Proportional to 464.85, 693.36 and 395.60

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Solution

The fourth proportional to 464.85, 693.36 and 395.60 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 693.36 = 395.60 : x
  2. Step 2: Convert to fraction form
    464.85/693.36 = 395.60/x
  3. Step 3: Cross multiply
    464.85x = 693.36 × 395.60
  4. Step 4: Simplify right side
    464.85x = 274,289.75
  5. Step 5: Solve for x
    x = 274,289.75/464.85
  6. Step 6: Final answer
    x = 590.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.